137097253 has 2 divisors, whose sum is σ = 137097254. Its totient is φ = 137097252.

The previous prime is 137097241. The next prime is 137097263. The reversal of 137097253 is 352790731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 125821089 + 11276164 = 11217^2 + 3358^2 .

It is a cyclic number.

It is not a de Polignac number, because 137097253 - 2⁹ = 137096741 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137097263) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68548626 + 68548627.

It is an arithmetic number, because the mean of its divisors is an integer number (68548627).

Almost surely, 2^137097253 is an apocalyptic number.

It is an amenable number.

137097253 is a deficient number, since it is larger than the sum of its proper divisors (1).

137097253 is an equidigital number, since it uses as much as digits as its factorization.

137097253 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 39690, while the sum is 37.

The square root of 137097253 is about 11708.8536159609. The cubic root of 137097253 is about 515.6356282743.

The spelling of 137097253 in words is "one hundred thirty-seven million, ninety-seven thousand, two hundred fifty-three".